Evolution of a black hole-inhabited brane close to reconnection

Abstract

Last moments of a mini black hole escaping from a brane are studied. It is argued that at the point of reconnection, where the piece of the brane attached to the black hole separates from the rest, the worldsheet of the brane becomes isotropic (light-like). The degenerate mode of evolution, with the worldsheet isotropic everywhere, is investigated. In particular, it is shown that the brane approaches the reconnection point from below if it reconnects within a certain limit distance, and from above if it reconnects beyond that distance. The rate of relaxation to the degenerate mode is established. If the dimension of the brane is $p$, the nondegeneracy, measured by the determinant of the relevant part of the induced metric tensor, falls down as (latitudinal angle)${}^{2(p-1)}$.

arXiv comment20 pages, 4 figures

References in corpus (13)

• A Large Mass Hierarchy from a Small Extra Dimension
• Phenomenology, Astrophysics and Cosmology of Theories with Sub-Millimeter Dimensions and TeV Scale Quantum Gravity
• Black Holes at the LHC
• High Energy Colliders as Black Hole Factories: The End of Short Distance Physics
• Black Holes Radiate Mainly on the Brane
• Black Hole as a Point Radiator and Recoil Effect on the Brane World
• Escape of black holes from the brane
• Soap Bubbles in Outer Space: Interaction of a Domain Wall with a Black Hole
• Dynamics of domain walls intersecting black holes
• Critical escape velocity of black holes from branes
• Curvature corrections and topology change transition in brane-black hole systems: A perturbative approach
• A Toy Model for Topology Change Transitions: Role of Curvature Corrections
• Thick brane solutions and topology change transition on black hole backgrounds